CODEBHAVYA • MATHEMATICS

📐 Mathematics

Learn mathematical concepts, formulas, shortcuts and problem-solving techniques step by step.

📚 Welcome to Mathematics

This section is designed to help students develop strong mathematical problem-solving skills.

Each topic contains concepts, important formulas, solved examples, shortcuts, practice questions and detailed solutions.

🗺️ Mathematics Learning Path

The CodeBhavya Mathematics course is organized into three connected parts, moving from thinking skills to programming mathematics and placement-oriented aptitude.

📍 Course Progress

Your visited Mathematics topics are stored only in this browser.

0 of 16 available topics visited

🧠 Mathematical Thinking

Develop problem decomposition, logical reasoning and pattern-recognition skills used in programming.

4 Main Topics
🧠

Mathematical Thinking & Problem Solving

Learn a reliable process for understanding and solving unfamiliar mathematical problems.

Subtopics Covered
  • Understanding the problem
  • Breaking it into smaller parts
  • Recognizing number patterns
  • Designing step-by-step solutions
  • Verification and common mistakes
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🔀

Logic & Truth Tables

Understand Boolean reasoning used in mathematical statements and programming conditions.

Subtopics Covered
  • True and false values
  • AND, OR and NOT operations
  • Building truth tables
  • Evaluating logical expressions
  • Implication and equivalence
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Sets & Venn Diagrams

Learn how collections are represented, compared and visualized.

Subtopics Covered
  • Meaning and representation of sets
  • Elements and set notation
  • Union and intersection
  • Venn diagram interpretation
  • Counting with Venn diagrams
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💻 Mathematics for Programming

Learn the mathematical foundations most useful for programming, algorithms and coding assessments.

6 Main Topics
🔢

Number System Fundamentals

Build a strong foundation in number properties and divisibility.

Subtopics Covered
  • Natural, whole and integer numbers
  • Rational, irrational and real numbers
  • Prime and composite numbers
  • Divisibility rules
  • Factors, multiples, HCF and LCM
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🔄

Number Systems & Base Conversions

Understand the number representations used by computer systems.

Subtopics Covered
  • Decimal and binary systems
  • Octal and hexadecimal systems
  • Decimal-to-base conversions
  • Binary-to-other-base conversions
Start Learning
📐

Algebra for Programmers, AP & GP

Connect algebraic ideas with variables, expressions and sequence-based programs.

Subtopics Covered
  • Variables and constants
  • Evaluating expressions
  • Arithmetic Progression: nth term and sum
  • Geometric Progression: nth term and sum
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Matrices

Learn matrix structure, terminology, types and operations.

Subtopics Covered
  • Rows, columns and dimensions
  • Square, rectangular, row and column matrices
  • Identity and zero matrices
  • Addition, subtraction and scalar multiplication
  • Matrix multiplication
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🧮

Permutations & Combinations

Learn when order matters and how to count possible arrangements and selections.

Subtopics Covered
  • Fundamental Counting Principle
  • Permutations and arrangements
  • Combinations and selections
  • Choosing the correct technique
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🎲

Probability

Measure the chance of simple events and reason about uncertain outcomes.

Subtopics Covered
  • Experiment, outcome and sample space
  • Events and probability of an event
  • Certain, impossible and complementary events
  • Coins, dice and cards
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🎯 Quantitative Aptitude

Build placement-oriented numerical ability through formulas, shortcuts and carefully explained problems.

6 Main Topics
📊

Percentages

Understand percentage values and their common real-life applications.

Subtopics Covered
  • Percentage meaning and basic formula
  • Finding percentage, part and whole
  • Percentage increase and decrease
  • Comparison and application problems
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📈

Averages

Represent a group of values using meaningful average measures.

Subtopics Covered
  • Arithmetic mean
  • Weighted averages
  • Combined averages
  • Missing-value problems
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⚖️

Ratio & Proportion

Compare quantities and solve problems involving proportional relationships.

Subtopics Covered
  • Ratios and equivalent ratios
  • Proportions
  • Direct and inverse variation
  • Sharing quantities in a ratio
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💰

Profit, Loss & Discount

Solve commercial arithmetic questions involving prices and percentage changes.

Subtopics Covered
  • Cost price and selling price
  • Profit and loss percentages
  • Marked price and discount
  • Successive discounts
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⏱️

Time & Work

Relate work rate, time and efficiency for individuals and groups.

Subtopics Covered
  • Work rate and efficiency
  • Combined work
  • Work and wages
  • Pipes and cisterns
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🚗

Time, Speed & Distance

Analyze journeys using the relationship between speed, time and distance.

Subtopics Covered
  • Speed, time and distance formulas
  • Average and relative speed
  • Train problems
  • Journey-based problems
Start Learning
🧩

Mathematics Case Studies

Combine percentages, ratios, averages, algebra, sequences and journey mathematics in practical planning problems.

Subtopics Covered
  • Tech-Fest Budget & Break-Even Planner
  • Campus Shuttle Timetable & Capacity Planner
  • Worked derivations and Python verification
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🧠 How to Learn

01
Understand the concept.
02
Learn the important formulas.
03
Study solved examples.
04
Try practice problems yourself.
05
Check the detailed solution.